Question

the letters c, o, u, n and t are randomly placed around a circle. one such arrangement is shown here. if we always start with the c and continue to read the rest of the letters in order clockwise, in how many different orders can the letters appear?

Answer 1

Well since "C" is in a given position, and we're going in a clock-wise manner, we have 4 ways to choose the next letter, 3 ways to choose the letter after that, etc. So 4 x 3 x 2 x 1= 4! = 24 arrangements